Multi-stable structures are categorized as nonlinear mechanical systems with multiple stable states. Their unique characteristics of elastic transition between stabilities make them highly advantageous in many engineering fields, such as storage and release of mechanical energy, and control of vibration damping. Based on mechanical response, these structures can be divided into two categories: (i) superelasticity-systems, which are capable to autonomously rebound and are suitable for dynamic scenarios, and (ii) superplasticity-systems, which require reverse loading to return to their initial state, exhibit higher energy dissipation efficiency and are suitable for impact protection scenarios. Currently, three main challenges exist in the design of multi-stable structures: the mathematical formulations are not well-established, the mapping mechanism between key parameters and mechanical responses is not clearly illustrated, and the systematic mechanical analysis is lacking. Therefore, this study developed a design for a multi-stable structure with a proper mechanical analytical model based on fundamental solid mechanics. Through parametric analysis, the geometric configuration and material properties were optimized in terms of the structural response mode, providing systematic theoretical support guidelines and technical support for the applicability and practicality of multi-stable structures.